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Finding the Fourth Proportional to 1,892.36, 2,834.89 and 1,546.08

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Solution

The fourth proportional to 1,892.36, 2,834.89 and 1,546.08 is: 2,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.36 : 2,834.89 = 1,546.08 : x
  2. Step 2: Convert to fraction form
    1,892.36/2,834.89 = 1,546.08/x
  3. Step 3: Cross multiply
    1,892.36x = 2,834.89 × 1,546.08
  4. Step 4: Simplify right side
    1,892.36x = 4,382,959.00
  5. Step 5: Solve for x
    x = 4,382,959.00/1,892.36
  6. Step 6: Final answer
    x = 2,316.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.